77177986080 has 384 divisors, whose sum is σ = 266972848128. Its totient is φ = 18626015232.

The previous prime is 77177986079. The next prime is 77177986133. The reversal of 77177986080 is 8068977177.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153435109 + ... + 153435611.

It is an arithmetic number, because the mean of its divisors is an integer number (695241792).

Almost surely, 2^77177986080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77177986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133486424064).

77177986080 is an abundant number, since it is smaller than the sum of its proper divisors (189794862048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77177986080 is a wasteful number, since it uses less digits than its factorization.

77177986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 60.

The spelling of 77177986080 in words is "seventy-seven billion, one hundred seventy-seven million, nine hundred eighty-six thousand, eighty".